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Finding the Third Proportional to 932,367 and 1,402,023

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Solution

The third proportional to 932,367 and 1,402,023 is: 2,108,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,367 : 1,402,023 = 1,402,023 : x
  2. Step 2: Convert to fraction form
    932,367/1,402,023 = 1,402,023/x
  3. Step 3: Cross multiply
    932,367x = 1,402,023 × 1,402,023
  4. Step 4: Simplify right side
    932,367x = 1,965,668,492,529
  5. Step 5: Solve for x
    x = 1,965,668,492,529/932,367
  6. Step 6: Final answer
    x = 2,108,256.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.